Commit Graph

1796 Commits

Author SHA1 Message Date
Neil Schemenauer 26db587485 str and unicode objects now have a __mod__ slot so don't special case them in
PyNumber_Remainder().  This fixes SF bug #615506 and allows string and unicode
subclasses to override __mod__.
2002-11-18 16:04:52 +00:00
Neil Schemenauer 89350a41b9 Remove _Py_ResetReferences. Fixes bug #529750 "Circular reference makes
Py_Init crash".  refchain cannot be cleared because objects can live across
Py_Finalize() and Py_Initialize() if they are kept alive by circular
references.
2002-11-17 17:52:44 +00:00
Tim Peters 9a6b8d8cf8 Repaired illegal syntax most compilers probably let slide (but MSVC
treats as a fatal error).
2002-11-14 23:22:33 +00:00
Guido van Rossum 1f1213120e Use the new C3 MRO algorithm, implemented by Samuele Pedroni (SF patch
619475; also closing SF bug 618704).  I tweaked his code a bit for
style.

This raises TypeError for MRO order disagreements, which is an
improvement (previously these went undetected) but also a degradation:
what if the order disagreement doesn't affect any method lookups?
I don't think I care.
2002-11-14 19:49:16 +00:00
Neal Norwitz 80a1bf4b5d Fix SF # 635969, No error "not all arguments converted"
When mwh added extended slicing, strings and unicode became mappings.
Thus, dict was set which prevented an error when doing:
	newstr = 'format without a percent' % string_value

This fix raises an exception again when there are no formats
and % with a string value.
2002-11-12 23:01:12 +00:00
Tim Peters b9099c3df4 SF patch 637176: list.sort crasher
Armin Rigo's Draconian but effective fix for

SF bug 453523: list.sort crasher

slightly fiddled to catch more cases of list mutation.  The dreaded
internal "immutable list type" is gone!  OTOH, if you look at a list
*while* it's being sorted now, it will appear to be empty.  Better
than a core dump.
2002-11-12 22:08:10 +00:00
Raymond Hettinger 5ae8e01cc5 Restore attribute access so that the following work again:
dir(xrange(10))
   xrange(10).__getitem__(4)
2002-11-07 16:55:54 +00:00
Walter Dörwald 07e147667c Make int("...") return a long if an int would overflow.
Also remove the 512 character limitation for int(u"...") and long(u"...").

This closes SF bug #629989.
2002-11-06 16:15:14 +00:00
Michael W. Hudson cbd6fb9006 Handle really big steps in extended slices.
Fixes a test failure on 64 bit platforms (I hope).
2002-11-06 15:17:32 +00:00
Neal Norwitz 03b109afc0 Use PyOS_snprintf() instead of sprintf and wrap the long line 2002-11-05 22:41:37 +00:00
Michael W. Hudson 2801fe1c8f Use PyList_CheckExact and PyTuple_CheckExact for checking whether
PySequence_Fast needs to do anything siginificant.
2002-11-05 18:05:49 +00:00
Michael W. Hudson 5da854fe51 This is Alex Martelli's patch
[ 633870 ] allow any seq assignment to a list slice

plus a very silly little test case of my own.
2002-11-05 17:38:05 +00:00
Michael W. Hudson 173f11da5d Some days, I think my comment of
/* this is harder to get right than you might think */

angered some God somewhere.  After noticing

    >>> range(5000000)[slice(96360, None, 439)]
    []

I found that my cute test for the slice being empty failed due to
overflow.  Fixed, and added simple test (not the above!).
2002-11-05 15:28:51 +00:00
Guido van Rossum f740bdf337 Since properties are supported here, is possible that
instance_getattr2() raises an exception.  Fix all code that made this
assumption.

Backport candidate.
2002-10-29 18:36:40 +00:00
Martin v. Löwis 8c1402869b Patch #627105: Document that SYSTEM_PAGE_SIZE really should not be
larger than the system page size.
2002-10-26 15:01:53 +00:00
Marc-André Lemburg 9cd87aaa54 Fix for bug #626172: crash using unicode latin1 single char
Python 2.2.3 candidate.
2002-10-23 09:02:46 +00:00
Martin v. Löwis edf368c351 Make lower/upper/title work for non-BMP characters. 2002-10-18 16:40:36 +00:00
Neal Norwitz 673cd824ba Fix SF # 624982, Potential AV in slot_sq_item, by Greg Chapman
Don't crash when getting value of a property raises an exception
2002-10-18 16:33:13 +00:00
Martin v. Löwis 9def6a3a77 Update to Unicode 3.2 database. 2002-10-18 16:11:54 +00:00
Guido van Rossum 617080b6cf Fix (real! :-) memory leaks in half_cmp and half_binop.
Perhaps found by NealN and valgrind.  Will forward port.
2002-10-18 14:15:33 +00:00
Guido van Rossum 3930bc35d0 Sigh. That wasn't a memory leak, that was Guido committing before
running tests.  Withdraw 2.183 and its backport.
2002-10-18 13:51:49 +00:00
Guido van Rossum 72297bb71e Fix memory leak in add_subclass() found by NealN with valgrind.
Will backport.
2002-10-18 13:41:47 +00:00
Martin v. Löwis ceaa77cf85 Add n_unnamed_fields into the type. 2002-10-16 19:10:03 +00:00
Martin v. Löwis f607bdaa77 Add PyStructSequence_UnnamedField. Add stat_float_times.
Use integers in stat tuple, optionally floats in named fields.
2002-10-16 18:27:39 +00:00
Guido van Rossum 6e5680fc83 For some reason (probably cut and paste), __ipow__ for new-style
classes was called with three arguments.  This makes no sense, there's
no way to pass in the "modulo" 3rd argument as for __pow__, and
classic classes don't do this.  [SF bug 620179]

I don't want to backport this to 2.2.2, because it could break
existing code that has developed a work-around.  Code in 2.2.2 that
wants to use __ipow__ and wants to be forward compatible with 2.3
should be written like this:

  def __ipow__(self, exponent, modulo=None):
      ...
2002-10-15 01:01:53 +00:00
Martin v. Löwis 13b1a5cc99 Don't drop old slots if _unicode_to_string did not change anything. 2002-10-14 21:11:34 +00:00
Martin v. Löwis d919a59ab5 Allow Unicode strings in __slots__, converting them to byte strings. 2002-10-14 21:07:28 +00:00
Guido van Rossum bfa5a14adb Darn! Don't divide by zero. Bad fix. :-) 2002-10-11 23:39:35 +00:00
Guido van Rossum a5c0e6d6c8 Add checks for size overflow on list*n, list+list, tuple+tuple.
Will backport.
2002-10-11 21:05:56 +00:00
Guido van Rossum 6e08c1460c PyObject_Init[Var] is almost always called from the PyObject_NEW[_VAR]
macros.  The 'op' argument is then the result from PyObject_MALLOC,
and that can of course be NULL.  In that case, PyObject_Init[Var]
would raise a SystemError with "NULL object passed to
PyObject_Init[Var]".  But there's nothing the caller of the macro can
do about this.  So PyObject_Init[Var] should call just PyErr_NoMemory.

Will backport.
2002-10-11 20:37:24 +00:00
Martin v. Löwis a5f0907d79 Back out #479898. 2002-10-11 05:37:59 +00:00
Guido van Rossum 049cd6b563 Fix a nasty endcase reported by Armin Rigo in SF bug 618623:
'%2147483647d' % -123 segfaults.  This was because an integer overflow
in a comparison caused the string resize to be skipped.  After fixing
the overflow, this could call _PyString_Resize() with a negative size,
so I (1) test for that and raise MemoryError instead; (2) also added a
test for negative newsize to _PyString_Resize(), raising SystemError
as for all bad arguments.

An identical bug existed in unicodeobject.c, of course.

Will backport to 2.2.2.
2002-10-11 00:43:48 +00:00
Guido van Rossum 8052f8921e Undo this part of the previous checkin:
Also fixed an error message -- %s argument has non-string str()
  doesn't make sense for %r, so the error message now differentiates
  between %s and %r.

because PyObject_Repr() and PyObject_Str() ensure that this can never
happen.  Added a helpful comment instead.
2002-10-09 19:14:30 +00:00
Guido van Rossum b00c07f038 The string formatting code has a test to switch to Unicode when %s
sees a Unicode argument.  Unfortunately this test was also executed
for %r, because %s and %r share almost all of their code.  This meant
that, if u is a unicode object while repr(u) is an 8-bit string
containing ASCII characters, '%r' % u is a *unicode* string containing
only ASCII characters!

Fixed by executing the test only for %s.

Also fixed an error message -- %s argument has non-string str()
doesn't make sense for %r, so the error message now differentiates
between %s and %r.
2002-10-09 19:07:53 +00:00
Martin v. Löwis bab9559d12 Include wctype.h. 2002-10-07 18:26:16 +00:00
Martin v. Löwis fed2405cb5 Patch #479898: Use multibyte C library for printing strings if available. 2002-10-07 13:55:50 +00:00
Mark Hammond c2e85bd4e2 Patch 594001: PEP 277 - Unicode file name support for Windows NT. 2002-10-03 05:10:39 +00:00
Marc-André Lemburg 24e53b6d91 Add cast to avoid compiler warning. 2002-09-24 09:32:14 +00:00
Neal Norwitz a0378e1eda Fix part of SF bug # 544248 gcc warning in unicodeobject.c
When --enable-unicode=ucs4, need to cast Py_UNICODE to a char
2002-09-13 13:47:06 +00:00
Guido van Rossum efc1188239 Fix warnings on 64-bit platforms about casts from pointers to ints.
Two of these were real bugs.
2002-09-12 14:43:41 +00:00
Michael W. Hudson 5c1ad84d7f Fix for platforms where int != long. 2002-09-12 09:31:30 +00:00
Guido van Rossum 02fe64708f Insert an overflow check when the sequence repetition count is outside
the range of ints.  The old code would pass random truncated bits to
sq_repeat() on a 64-bit machine.

Backport candidate.
2002-09-11 19:00:52 +00:00
Guido van Rossum d4774fb6ef Untested code for 64-bit platforms. range_length() is declared as int
but returns r->len which is a long.  This doesn't even cause a warning
on 32-bit platforms, but can return bogus values on 64-bit platforms
(and should cause a compiler warning).  Fix this by inserting a range
check when LONG_MAX != INT_MAX, and adding an explicit cast to (int)
when the test passes.  When r->len is out of range, PySequence_Size()
and hence len() will report an error (but an iterator will still
work).
2002-09-11 15:55:48 +00:00
Michael W. Hudson 02ff6a9952 A slight change to SET_LINENO-less tracing.
This makes things a touch more like 2.2.  Read the comments in
Python/ceval.c for more details.
2002-09-11 15:36:32 +00:00
Martin v. Löwis 2412853f8e Fix escaping of non-ASCII characters. 2002-09-09 06:17:05 +00:00
Neal Norwitz bb9c5f5032 PyObject_RichCompareBool() already returns -1, 0, or 1, so return its value 2002-09-05 21:32:55 +00:00
Raymond Hettinger bd9adab138 Micro-optimization for list_contains. Factored double if test
out of the loop.
2002-09-05 20:18:08 +00:00
Raymond Hettinger aae5999b44 Micro-optimization for list_contains. Factored double if test
out of the loop.
2002-09-05 14:23:49 +00:00
Walter Dörwald 5c1ee17742 Change the unicode.translate docstring to document that
Unicode strings (with arbitrary length) are allowed
as entries in the unicode.translate mapping.

Add a test case for multicharacter replacements.

(Multicharacter replacements were enabled by the
PEP 293 patch)
2002-09-04 20:31:32 +00:00
Guido van Rossum efae8862fe In doc strings, use 'k in D' rather than D.has_key(k). 2002-09-04 11:29:45 +00:00
Skip Montanaro d581d7792b replace thread state objects' ticker and checkinterval fields with two
globals, _Py_Ticker and _Py_CheckInterval.  This also implements Jeremy's
shortcut in Py_AddPendingCall that zeroes out _Py_Ticker.  This allows the
test in the main loop to only test a single value.

The gory details are at

    http://python.org/sf/602191
2002-09-03 20:10:45 +00:00
Walter Dörwald 8709a420c4 Check whether a string resize is necessary at the end
of PyString_DecodeEscape(). This prevents a call to
_PyString_Resize() for the empty string, which would
result in a PyErr_BadInternalCall(), because the
empty string has more than one reference.

This closes SF bug http://www.python.org/sf/603937
2002-09-03 13:53:40 +00:00
Walter Dörwald 3aeb632c31 PEP 293 implemention (from SF patch http://www.python.org/sf/432401) 2002-09-02 13:14:32 +00:00
Raymond Hettinger 29a6d449ef Added comparison functions to dict proxies.
Now all non-mutating dict methods are in the proxy also.
Inspired by SF bug #602232,
2002-08-31 15:51:04 +00:00
Neal Norwitz d94c28e467 SF #561244: micro optimizations, builtins cannot be NULL, so use Py_INCREF 2002-08-29 20:25:46 +00:00
Raymond Hettinger 604cd6ae79 complex() was the only numeric constructor that created a new instance
when given its own type as an argument.
2002-08-29 14:22:51 +00:00
Guido van Rossum bf935fde15 string_contains(): speed up by avoiding function calls where
possible.  This always called PyUnicode_Check() and PyString_Check(),
at least one of which would call PyType_IsSubtype().  Also, this would
call PyString_Size() on known string objects.
2002-08-24 06:57:49 +00:00
Guido van Rossum 6248f441ea Speedup for PyObject_IsTrue(): check for True and False first.
Because all built-in tests return bools now, this is the most common
path!
2002-08-24 06:31:34 +00:00
Guido van Rossum 81912d4764 Speedup for PyObject_RichCompareBool(): PyObject_RichCompare() almost
always returns a bool, so avoid calling PyObject_IsTrue() in that
case.
2002-08-24 05:33:28 +00:00
Guido van Rossum 2023c9b84a Fix SF bug 599128, submitted by Inyeol Lee: .replace() would do the
wrong thing for a unicode subclass when there were zero string
replacements.  The example given in the SF bug report was only one way
to trigger this; replacing a string of length >= 2 that's not found is
another.  The code would actually write outside allocated memory if
replacement string was longer than the search string.

(I wonder how many more of these are lurking?  The unicode code base
is full of wonders.)

Bugfix candidate; this same bug is present in 2.2.1.
2002-08-23 18:50:21 +00:00
Guido van Rossum 8b1a6d694f Code by Inyeol Lee, submitted to SF bug 595350, to implement
the string/unicode method .replace() with a zero-lengt first argument.
Inyeol contributed tests for this too.
2002-08-23 18:21:28 +00:00
Tim Peters 0d2d87d202 long_format(), long_lshift(): Someone on c.l.py is trying to boost
SHIFT and MASK, and widen digit.  One problem is that code of the form

    digit << small_integer

implicitly assumes that the result fits in an int or unsigned int
(platform-dependent, but "int sized" in any case), since digit is
promoted "just" to int or unsigned via the usual integer promotions.
But if digit is typedef'ed as unsigned int, this loses information.
The cure for this is just to cast digit to twodigits first.
2002-08-20 19:00:22 +00:00
Guido van Rossum 76afbd9aa4 Fix some endcase bugs in unicode rfind()/rindex() and endswith().
These were reported and fixed by Inyeol Lee in SF bug 595350.  The
endswith() bug was already fixed in 2.3, but this adds some more test
cases.
2002-08-20 17:29:29 +00:00
Tim Peters 75585d4ec1 getinstclassname(): Squash new compiler wng in assert (comparison of
signed vs unsigned).
2002-08-20 14:31:35 +00:00
Guido van Rossum 45ec02aed1 SF patch 576101, by Oren Tirosh: alternative implementation of
interning.  I modified Oren's patch significantly, but the basic idea
and most of the implementation is unchanged.  Interned strings created
with PyString_InternInPlace() are now mortal, and you must keep a
reference to the resulting string around; use the new function
PyString_InternImmortal() to create immortal interned strings.
2002-08-19 21:43:18 +00:00
Guido van Rossum e3a8e7ed1d Call me anal, but there was a particular phrase that was speading to
comments everywhere that bugged me: /* Foo is inlined */ instead of
/* Inline Foo */.  Somehow the "is inlined" phrase always confused me
for half a second (thinking, "No it isn't" until I added the missing
"here").  The new phrase is hopefully unambiguous.
2002-08-19 19:26:42 +00:00
Guido van Rossum 056fbf422d Another modest speedup in PyObject_GenericGetAttr(): inline the call
to _PyType_Lookup().
2002-08-19 19:22:50 +00:00
Guido van Rossum 492b46f29e Make PyDescr_IsData() a macro. It's too simple to be a function.
Should save 4% on slot lookups.
2002-08-19 18:45:37 +00:00
Michael W. Hudson 69734a5272 Check in my ultra-shortlived patch #597220.
Move some debugging checks inside Py_DEBUG.

They were causing cache misses according to cachegrind.
2002-08-19 16:54:08 +00:00
Guido van Rossum c66ff4441e Inline call to _PyObject_GetDictPtr() in PyObject_GenericGetAttr().
This causes a modest speedup.
2002-08-19 16:50:48 +00:00
Guido van Rossum c588e9041a Simple but important optimization for descr_check(): instead of the
expensive and overly general PyObject_IsInstance(), call
PyObject_TypeCheck() which is a macro that often avoids a call, and if
it does make a call, calls the much more efficient PyType_IsSubtype().
This saved 6% on a benchmark for slot lookups.
2002-08-19 16:02:33 +00:00
Neal Norwitz b898d9fc9a Get this to compile again if Py_USING_UNICODE is not defined.
com_error() is static in Python/compile.c.
2002-08-16 23:20:39 +00:00
Guido van Rossum 84b2bed435 Squash a few calls to the hideously expensive PyObject_CallObject(o,a)
-- replace then with slightly faster PyObject_Call(o,a,NULL).  (The
difference is that the latter requires a to be a tuple; the former
allows other values and wraps them in a tuple if necessary; it
involves two more levels of C function calls to accomplish all that.)
2002-08-16 17:01:09 +00:00
Guido van Rossum 8e829200b1 Fix SF bug 595838 -- buffer in type_new() should not be static. Moved
to inner scope, too.
2002-08-16 03:47:49 +00:00
Tim Peters e417de0e56 Illustrating by example one good reason not to trust a proof <wink>. 2002-08-15 20:10:45 +00:00
Tim Peters ab86c2be24 k_mul() comments: In honor of Dijkstra, made the proof that "t3 fits"
rigorous instead of hoping for testing not to turn up counterexamples.
Call me heretical, but despite that I'm wholly confident in the proof,
and have done it two different ways now, I still put more faith in
testing ...
2002-08-15 20:06:00 +00:00
Tim Peters 9973d74b2d long_mul(): Simplified exit code. In particular, k_mul() returns a
normalized result, so no point to normalizing it again.  The number
of test+branches was also excessive.
2002-08-15 19:41:06 +00:00
Michael W. Hudson dd32a91cc0 This is my patch
[ 587993 ] SET_LINENO killer

Remove SET_LINENO.  Tracing is now supported by inspecting co_lnotab.

Many sundry changes to document and adapt to this change.
2002-08-15 14:59:02 +00:00
Jeremy Hylton 8b73542cf5 Reflow long lines. 2002-08-14 21:01:41 +00:00
Guido van Rossum 54df53a352 More changes of DeprecationWarning to FutureWarning. 2002-08-14 18:38:27 +00:00
Guido van Rossum 323a9cfc83 PyType_Ready(): initialize the base class a bit earlier, so that if we
copy the metatype from the base, the base actually has one!
2002-08-14 17:26:30 +00:00
Tim Peters 48d52c0fcc k_mul() comments: Simplified the simplified explanation of why ah*bh and
al*bl "always fit":  it's actually trivial given what came before.
2002-08-14 17:07:32 +00:00
Tim Peters 8e966ee49a k_mul() comments: Explained why there's always enough room to subtract
ah*bh and al*bl.  This is much easier than explaining why that's true
for (ah+al)*(bh+bl), and follows directly from the simple part of the
(ah+al)*(bh+bl) explanation.
2002-08-14 16:36:23 +00:00
Martin v. Löwis eb3f00aeeb Check for trailing backslash. Fixes #593656. 2002-08-14 08:22:50 +00:00
Martin v. Löwis 8a8da798a5 Patch #505705: Remove eval in pickle and cPickle. 2002-08-14 07:46:28 +00:00
Neal Norwitz 5dc2a37f0f Allow more docstrings to be removed during compilation 2002-08-13 22:19:13 +00:00
Tim Peters cba6e96929 Fixed error in new comment. 2002-08-13 20:42:00 +00:00
Tim Peters d6974a54ab k_mul(): The fix for (ah+al)*(bh+bl) spilling 1 bit beyond the allocated
space is no longer needed, so removed the code.  It was only possible when
a degenerate (ah->ob_size == 0) split happened, but after that fix went
in I added k_lopsided_mul(), which saves the body of k_mul() from seeing
a degenerate split.  So this removes code, and adds a honking long comment
block explaining why spilling out of bounds isn't possible anymore.  Note:
ff we end up spilling out of bounds anyway <wink>, an assert in v_iadd()
is certain to trigger.
2002-08-13 20:37:51 +00:00
Neal Norwitz d47714a727 Allow docstrings to be removed during compilation for *SLOT macro and friends 2002-08-13 19:01:38 +00:00
Neal Norwitz 858e34f649 Allow docstrings to be removed during compilation 2002-08-13 17:18:45 +00:00
Guido van Rossum 4571e9d42a Add an improvement wrinkle to Neil Schemenauer's change to int_mul
(rev. 2.86).  The other type is only disqualified from sq_repeat when
it has the CHECKTYPES flag.  This means that for extension types that
only support "old-style" numeric ops, such as Zope 2's ExtensionClass,
sq_repeat still trumps nb_multiply.
2002-08-13 10:05:56 +00:00
Guido van Rossum d8c8048f5e Fix comment for PyLong_AsUnsignedLong() to say that the return value
is an *unsigned* long.
2002-08-13 00:24:58 +00:00
Tim Peters 1203403743 k_lopsided_mul(): This allocated more space for bslice than necessary. 2002-08-12 22:10:00 +00:00
Tim Peters 6000464d08 Added new function k_lopsided_mul(), which is much more efficient than
k_mul() when inputs have vastly different sizes, and a little more
efficient when they're close to a factor of 2 out of whack.

I consider this done now, although I'll set up some more correctness
tests to run overnight.
2002-08-12 22:01:34 +00:00
Tim Peters 547607c4bf k_mul(): Moved an assert down. In a debug build, interrupting a
multiply via Ctrl+C could cause a NULL-pointer dereference due to
the assert.
2002-08-12 19:43:49 +00:00
Tim Peters 70b041bbe7 k_mul(): Heh -- I checked in two fixes for the last problem. Only keep
the good one <wink>.  Also checked in a test-aid by mistake.
2002-08-12 19:38:01 +00:00
Tim Peters d8b2173ef9 k_mul(): White-box testing turned up that (ah+al)*(bh+bl) can, in rare
cases, overflow the allocated result object by 1 bit.  In such cases,
it would have been brought back into range if we subtracted al*bl and
ah*bh from it first, but I don't want to do that because it hurts cache
behavior.  Instead we just ignore the excess bit when it appears -- in
effect, this is forcing unsigned mod BASE**(asize + bsize) arithmetic
in a case where that doesn't happen all by itself.
2002-08-12 19:30:26 +00:00
Guido van Rossum 3747a0f04c Fix MSVC warnings. 2002-08-12 19:25:08 +00:00
Guido van Rossum ad47da072a Refactor how __dict__ and __weakref__ interact with __slots__.
1. You can now have __dict__ and/or __weakref__ in your __slots__
   (before only __weakref__ was supported).  This is treated
   differently than before: it merely sets a flag that the object
   should support the corresponding magic.

2. Dynamic types now always have descriptors __dict__ and __weakref__
   thrust upon them.  If the type in fact does not support one or the
   other, that descriptor's __get__ method will raise AttributeError.

3. (This is the reason for all this; it fixes SF bug 575229, reported
   by Cesar Douady.)  Given this code:
      class A(object): __slots__ = []
      class B(object): pass
      class C(A, B): __slots__ = []
   the class object for C was broken; its size was less than that of
   B, and some descriptors on B could cause a segfault.  C now
   correctly inherits __weakrefs__ and __dict__ from B, even though A
   is the "primary" base (C.__base__ is A).

4. Some code cleanup, and a few comments added.
2002-08-12 19:05:44 +00:00
Tim Peters 115c888b97 x_mul(): Made life easier for C optimizers in the "grade school"
algorithm.  MSVC 6 wasn't impressed <wink>.

Something odd:  the x_mul algorithm appears to get substantially worse
than quadratic time as the inputs grow larger:

bits in each input   x_mul time   k_mul time
------------------   ----------   ----------
             15360         0.01         0.00
             30720         0.04         0.01
             61440         0.16         0.04
            122880         0.64         0.14
            245760         2.56         0.40
            491520        10.76         1.23
            983040        71.28         3.69
           1966080       459.31        11.07

That is, x_mul is perfectly quadratic-time until a little burp at
2.56->10.76, and after that goes to hell in a hurry.  Under Karatsuba,
doubling the input size "should take" 3 times longer instead of 4, and
that remains the case throughout this range.  I conclude that my "be nice
to the cache" reworkings of k_mul() are paying.
2002-08-12 18:25:43 +00:00